Theorems · Theorem · functional analysis

ContinuousAlternatingMap.toContinuousMultilinearMapCLM_apply

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} {ι : Type u_4} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E]
  [inst_2 : Module 𝕜 E] [inst_3 : TopologicalSpace E] [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
  [inst_6 : TopologicalSpace F] [inst_7 : IsTopologicalAddGroup F] (R : Type u_5) [inst_8 : Semiring R]
  [inst_9 : Module R F] [inst_10 : ContinuousConstSMul R F] [inst_11 : SMulCommClass 𝕜 R F],
  ⇑(ContinuousAlternatingMap.toContinuousMultilinearMapCLM R) = ContinuousAlternatingMap.toContinuousMultilinearMap

Defined in

Mathlib.Topology.Algebra.Module.Alternating.Topology

Cited by

1 results in Mathlib

Foundations

Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldAddCommGroupModuleTopologicalSpaceAddCommGroupModuleTopologicalSpaceIsTopologicalAddGroupSemiringModuleContinuousConstSMulSMulCommClass